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Finding the Fourth Proportional to 13,605.94, 20,411.07 and 5,814.82

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Solution

The fourth proportional to 13,605.94, 20,411.07 and 5,814.82 is: 8,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.94 : 20,411.07 = 5,814.82 : x
  2. Step 2: Convert to fraction form
    13,605.94/20,411.07 = 5,814.82/x
  3. Step 3: Cross multiply
    13,605.94x = 20,411.07 × 5,814.82
  4. Step 4: Simplify right side
    13,605.94x = 118,686,698.06
  5. Step 5: Solve for x
    x = 118,686,698.06/13,605.94
  6. Step 6: Final answer
    x = 8,723.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.